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Mathematics, 30.05.2020 22:04 dbrwnn


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Part A
Using opposite operations, rewrite the equation so s^2 is on one side of the equation by itself.

Part B
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.

Part C
The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation.

Part D
Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation?

Part E
Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.

Part F
Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation?

Part G
About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?

Page 2

Part A
The pyramids have always fascinated Kristina, so she wants to build two model pyramids to put on her mantel. She wants her model of Khufu’s pyramid to have a volume of 73.5 cubic inches and a height of 4.5 inches. What would the side length of the base of the pyramid be? Is this number rational or irrational? Why?

Part B
The volume of Khafre’s pyramid is 9/10 about the volume of Khufu’s pyramid. If Kristina wants to make the second model pyramid so its volume is 9/10 the volume of the first model pyramid, what volume should she make the second model pyramid?

Part C
If the height is 4.41 inches and the volume is the volume found in Part B, what will the side length of the pyramid’s base be? Is the number rational or irrational? Why?

Part D
For the model to be to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu’s pyramid to scale? If not, is it close?

Part E
Is the model of Khafre’s pyramid to scale? If not, is it close?

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